# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0220
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0220?run=74
# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 174, page id 826603459:0220
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=220
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000220.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

CA P. 2C
De Mudiplicatione e Divisione
facta subductione, residuum exit = a = e L C. Tum Cum
a)  a e(= a e; _  aB in a + e AE = a  C = a e 2; Facta (uBdU-
ctione, rectabie tae = e. Denig; cum GIE4) a0 = (c2 e e
In a L eHE a e + e3; facta subductione, restabiE = 2C3: FH
quoriens est a ac +c2
a +6
Vel, si in uleima operatione, pro quocience Le
lumeretur quotiens = ez, quia nempet e) = e2
Tuisset m e in a HC; a e e=; e subductione Facta, resta-
2
ac
ret 2 ac, adeogi quotiens a2 ae me t atc Quod
2 C
concundem valer: Nam Le = = a +e = = e2
Roc est
ac 2 + e) 2C7 aC r C242a02
a+ c.
a +e
a + C
Sed idem fere ereniret si praecedens operacio (ubi residuum
el 2C3) alcerius continvetur; _ Lumatur quociens Le
= = = 26 =: naM  2 e = in a + e eA = 2 a C 2 = 2 039u0d,
ex 2c Tubduetum rolinguie t 2 ae adcoque erit 8 =
aC + C 2  2 C3
2a e2
Ouod ideomoneo, ut appareat, (praesertim ubinecessario
Fractione terminecur) quocientem posse rariis Formis exhibesi
(nam, e muleis adhuc modis variari poreAt) sed qui cancun-
dem valeane; ue quilibet eam quae sibi magis accommodam
videacur Celigat; _ quidem nunc hanc nunc illam urpralens
un negocium poltulaverit.
Polset incerim eadem operacio peragiicodem plane succel-
lu, ( a dexera incipiamus. Nempe e) = e (= e =; _ = e=
in at etacie m ae=  e2; & (subducrione Facta ) residuum
a3 4 ac=. Tum C) F ac C F ac: & ac in a Z e Facit a =C
+ aC =: ergo residuum a  a = C. DenIq: C) aFe (: